What is the Greatest Common Factor of 6974 and 6980?
Greatest common factor (GCF) of 6974 and 6980 is 2.
GCF(6974,6980) = 2
We will now calculate the prime factors of 6974 and 6980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6974 and 6980.
How to find the GCF of 6974 and 6980?
We will first find the prime factorization of 6974 and 6980. After we will calculate the factors of 6974 and 6980 and find the biggest common factor number .
Step-1: Prime Factorization of 6974
Prime factors of 6974 are 2, 11, 317. Prime factorization of 6974 in exponential form is:
6974 = 21 × 111 × 3171
Step-2: Prime Factorization of 6980
Prime factors of 6980 are 2, 5, 349. Prime factorization of 6980 in exponential form is:
6980 = 22 × 51 × 3491
Step-3: Factors of 6974
List of positive integer factors of 6974 that divides 6974 without a remainder.
1, 2, 11, 22, 317, 634, 3487
Step-4: Factors of 6980
List of positive integer factors of 6980 that divides 6974 without a remainder.
1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6974 and 6980. The biggest common factor number is the GCF number.
So the greatest common factor 6974 and 6980 is 2.
Also check out the Least Common Multiple of 6974 and 6980
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Related Greatest Common Factors of 6980
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