What is the Greatest Common Factor of 80456 and 80476?

Greatest common factor (GCF) of 80456 and 80476 is 4.

GCF(80456,80476) = 4

We will now calculate the prime factors of 80456 and 80476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80456 and 80476.

How to find the GCF of 80456 and 80476?

We will first find the prime factorization of 80456 and 80476. After we will calculate the factors of 80456 and 80476 and find the biggest common factor number .

Step-1: Prime Factorization of 80456

Prime factors of 80456 are 2, 89, 113. Prime factorization of 80456 in exponential form is:

80456 = 2³ × 89¹ × 113¹

Step-2: Prime Factorization of 80476

Prime factors of 80476 are 2, 11, 31, 59. Prime factorization of 80476 in exponential form is:

80476 = 2² × 11¹ × 31¹ × 59¹

Step-3: Factors of 80456

List of positive integer factors of 80456 that divides 80456 without a remainder.

1, 2, 4, 8, 89, 113, 178, 226, 356, 452, 712, 904, 10057, 20114, 40228

Step-4: Factors of 80476

List of positive integer factors of 80476 that divides 80456 without a remainder.

1, 2, 4, 11, 22, 31, 44, 59, 62, 118, 124, 236, 341, 649, 682, 1298, 1364, 1829, 2596, 3658, 7316, 20119, 40238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80456 and 80476. The biggest common factor number is the GCF number.
So the greatest common factor 80456 and 80476 is 4.

Also check out the Least Common Multiple of 80456 and 80476