What is the Greatest Common Factor of 76962 and 76972?
Greatest common factor (GCF) of 76962 and 76972 is 2.
GCF(76962,76972) = 2
We will now calculate the prime factors of 76962 and 76972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76962 and 76972.
How to find the GCF of 76962 and 76972?
We will first find the prime factorization of 76962 and 76972. After we will calculate the factors of 76962 and 76972 and find the biggest common factor number .
Step-1: Prime Factorization of 76962
Prime factors of 76962 are 2, 3, 101, 127. Prime factorization of 76962 in exponential form is:
76962 = 21 × 31 × 1011 × 1271
Step-2: Prime Factorization of 76972
Prime factors of 76972 are 2, 7, 2749. Prime factorization of 76972 in exponential form is:
76972 = 22 × 71 × 27491
Step-3: Factors of 76962
List of positive integer factors of 76962 that divides 76962 without a remainder.
1, 2, 3, 6, 101, 127, 202, 254, 303, 381, 606, 762, 12827, 25654, 38481
Step-4: Factors of 76972
List of positive integer factors of 76972 that divides 76962 without a remainder.
1, 2, 4, 7, 14, 28, 2749, 5498, 10996, 19243, 38486
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 76962 and 76972. The biggest common factor number is the GCF number.
So the greatest common factor 76962 and 76972 is 2.
Also check out the Least Common Multiple of 76962 and 76972
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