637 = 7 * 7 * 13 = 72 * 13
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7^2 x 13
Writing down all the factors of both numbers requires too much time so it is not a good idea to find solution by writing each factor of both numbers. Method of prime factorization is one of the good methods to find GCF. Prime factorization is like breaking a number into other numbers, prime numbers, and this factorization is unique. Prime factorization is like a blueprint for numbers. Prime factorization of 1820 = 22 x 5 x 7 x 13 Prime factorization of 637 = 7 x 7 x 13 7, 13 and 7x13 are common in the prime factorization of both numbers, but 7x13 is the greatest among these numbers. So, 7x13 = 91 is the GCF of 1820 and 637.
The prime factorization is... 2x2x2x2x2x5x5
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.