What is the Greatest Common Factor of 4972 and 4977?
Greatest common factor (GCF) of 4972 and 4977 is 1.
GCF(4972,4977) = 1
We will now calculate the prime factors of 4972 and 4977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4972 and 4977.
How to find the GCF of 4972 and 4977?
We will first find the prime factorization of 4972 and 4977. After we will calculate the factors of 4972 and 4977 and find the biggest common factor number .
Step-1: Prime Factorization of 4972
Prime factors of 4972 are 2, 11, 113. Prime factorization of 4972 in exponential form is:
4972 = 22 × 111 × 1131
Step-2: Prime Factorization of 4977
Prime factors of 4977 are 3, 7, 79. Prime factorization of 4977 in exponential form is:
4977 = 32 × 71 × 791
Step-3: Factors of 4972
List of positive integer factors of 4972 that divides 4972 without a remainder.
1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486
Step-4: Factors of 4977
List of positive integer factors of 4977 that divides 4972 without a remainder.
1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4972 and 4977. The biggest common factor number is the GCF number.
So the greatest common factor 4972 and 4977 is 1.
Also check out the Least Common Multiple of 4972 and 4977
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Related Greatest Common Factors of 4977
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