What is the Greatest Common Factor of 938 and 948?
Greatest common factor (GCF) of 938 and 948 is 2.
GCF(938,948) = 2
We will now calculate the prime factors of 938 and 948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 938 and 948.
How to find the GCF of 938 and 948?
We will first find the prime factorization of 938 and 948. After we will calculate the factors of 938 and 948 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 948
Prime factors of 948 are 2, 3, 79. Prime factorization of 948 in exponential form is:
948 = 22 × 31 × 791
Step-3: Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469
Step-4: Factors of 948
List of positive integer factors of 948 that divides 938 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 938 and 948. The biggest common factor number is the GCF number.
So the greatest common factor 938 and 948 is 2.
Also check out the Least Common Multiple of 938 and 948
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