What is the Greatest Common Factor of 926 and 938?
Greatest common factor (GCF) of 926 and 938 is 2.
GCF(926,938) = 2
We will now calculate the prime factors of 926 and 938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 926 and 938.
How to find the GCF of 926 and 938?
We will first find the prime factorization of 926 and 938. After we will calculate the factors of 926 and 938 and find the biggest common factor number .
Step-1: Prime Factorization of 926
Prime factors of 926 are 2, 463. Prime factorization of 926 in exponential form is:
926 = 21 × 4631
Step-2: Prime Factorization of 938
Prime factors of 938 are 2, 7, 67. Prime factorization of 938 in exponential form is:
938 = 21 × 71 × 671
Step-3: Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1, 2, 463
Step-4: Factors of 938
List of positive integer factors of 938 that divides 926 without a remainder.
1, 2, 7, 14, 67, 134, 469
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 926 and 938. The biggest common factor number is the GCF number.
So the greatest common factor 926 and 938 is 2.
Also check out the Least Common Multiple of 926 and 938
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