The positive integer factors of 971 are:
1, 971
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971
1000
When rounding 971 to the nearest hundred, you look at the digit in the tens place, which is 7. Since 7 is greater than or equal to 5, you round up the hundreds place by 1. Therefore, 971 rounded to the nearest hundred is 1000.
953 967 971 977 983 991 997.
Two even numbers won't have an odd GCF.