What is the Greatest Common Factor of 76720 and 76732?

Greatest common factor (GCF) of 76720 and 76732 is 4.

GCF(76720,76732) = 4

We will now calculate the prime factors of 76720 and 76732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76720 and 76732.

How to find the GCF of 76720 and 76732?

We will first find the prime factorization of 76720 and 76732. After we will calculate the factors of 76720 and 76732 and find the biggest common factor number .

Step-1: Prime Factorization of 76720

Prime factors of 76720 are 2, 5, 7, 137. Prime factorization of 76720 in exponential form is:

76720 = 2⁴ × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 76732

Prime factors of 76732 are 2, 19183. Prime factorization of 76732 in exponential form is:

76732 = 2² × 19183¹

Step-3: Factors of 76720

List of positive integer factors of 76720 that divides 76720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 137, 140, 274, 280, 548, 560, 685, 959, 1096, 1370, 1918, 2192, 2740, 3836, 4795, 5480, 7672, 9590, 10960, 15344, 19180, 38360

Step-4: Factors of 76732

List of positive integer factors of 76732 that divides 76720 without a remainder.

1, 2, 4, 19183, 38366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76720 and 76732. The biggest common factor number is the GCF number.
So the greatest common factor 76720 and 76732 is 4.

Also check out the Least Common Multiple of 76720 and 76732