What is the Greatest Common Factor of 70964 and 70968?
Greatest common factor (GCF) of 70964 and 70968 is 4.
GCF(70964,70968) = 4
We will now calculate the prime factors of 70964 and 70968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70964 and 70968.
How to find the GCF of 70964 and 70968?
We will first find the prime factorization of 70964 and 70968. After we will calculate the factors of 70964 and 70968 and find the biggest common factor number .
Step-1: Prime Factorization of 70964
Prime factors of 70964 are 2, 113, 157. Prime factorization of 70964 in exponential form is:
70964 = 22 × 1131 × 1571
Step-2: Prime Factorization of 70968
Prime factors of 70968 are 2, 3, 2957. Prime factorization of 70968 in exponential form is:
70968 = 23 × 31 × 29571
Step-3: Factors of 70964
List of positive integer factors of 70964 that divides 70964 without a remainder.
1, 2, 4, 113, 157, 226, 314, 452, 628, 17741, 35482
Step-4: Factors of 70968
List of positive integer factors of 70968 that divides 70964 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 2957, 5914, 8871, 11828, 17742, 23656, 35484
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70964 and 70968. The biggest common factor number is the GCF number.
So the greatest common factor 70964 and 70968 is 4.
Also check out the Least Common Multiple of 70964 and 70968
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