What is the Greatest Common Factor of 75956 and 75974?
Greatest common factor (GCF) of 75956 and 75974 is 2.
GCF(75956,75974) = 2
We will now calculate the prime factors of 75956 and 75974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75956 and 75974.
How to find the GCF of 75956 and 75974?
We will first find the prime factorization of 75956 and 75974. After we will calculate the factors of 75956 and 75974 and find the biggest common factor number .
Step-1: Prime Factorization of 75956
Prime factors of 75956 are 2, 17, 1117. Prime factorization of 75956 in exponential form is:
75956 = 22 × 171 × 11171
Step-2: Prime Factorization of 75974
Prime factors of 75974 are 2, 37987. Prime factorization of 75974 in exponential form is:
75974 = 21 × 379871
Step-3: Factors of 75956
List of positive integer factors of 75956 that divides 75956 without a remainder.
1, 2, 4, 17, 34, 68, 1117, 2234, 4468, 18989, 37978
Step-4: Factors of 75974
List of positive integer factors of 75974 that divides 75956 without a remainder.
1, 2, 37987
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 75956 and 75974. The biggest common factor number is the GCF number.
So the greatest common factor 75956 and 75974 is 2.
Also check out the Least Common Multiple of 75956 and 75974
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