What is the Greatest Common Factor of 80356 and 80376?

Greatest common factor (GCF) of 80356 and 80376 is 4.

GCF(80356,80376) = 4

We will now calculate the prime factors of 80356 and 80376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80356 and 80376.

How to find the GCF of 80356 and 80376?

We will first find the prime factorization of 80356 and 80376. After we will calculate the factors of 80356 and 80376 and find the biggest common factor number .

Step-1: Prime Factorization of 80356

Prime factors of 80356 are 2, 20089. Prime factorization of 80356 in exponential form is:

80356 = 2² × 20089¹

Step-2: Prime Factorization of 80376

Prime factors of 80376 are 2, 3, 17, 197. Prime factorization of 80376 in exponential form is:

80376 = 2³ × 3¹ × 17¹ × 197¹

Step-3: Factors of 80356

List of positive integer factors of 80356 that divides 80356 without a remainder.

1, 2, 4, 20089, 40178

Step-4: Factors of 80376

List of positive integer factors of 80376 that divides 80356 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 197, 204, 394, 408, 591, 788, 1182, 1576, 2364, 3349, 4728, 6698, 10047, 13396, 20094, 26792, 40188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80356 and 80376. The biggest common factor number is the GCF number.
So the greatest common factor 80356 and 80376 is 4.

Also check out the Least Common Multiple of 80356 and 80376