What is the Greatest Common Factor of 60 and 76?
Greatest common factor (GCF) of 60 and 76 is 4.
GCF(60,76) = 4
We will now calculate the prime factors of 60 and 76, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60 and 76.
How to find the GCF of 60 and 76?
We will first find the prime factorization of 60 and 76. After we will calculate the factors of 60 and 76 and find the biggest common factor number .
Step-1: Prime Factorization of 60
Prime factors of 60 are 2, 3, 5. Prime factorization of 60 in exponential form is:
60 = 22 × 31 × 51
Step-2: Prime Factorization of 76
Prime factors of 76 are 2, 19. Prime factorization of 76 in exponential form is:
76 = 22 × 191
Step-3: Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30
Step-4: Factors of 76
List of positive integer factors of 76 that divides 60 without a remainder.
1, 2, 4, 19, 38
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 60 and 76. The biggest common factor number is the GCF number.
So the greatest common factor 60 and 76 is 4.
Also check out the Least Common Multiple of 60 and 76