What is the Greatest Common Factor of 76080 and 76085?

Greatest common factor (GCF) of 76080 and 76085 is 5.

GCF(76080,76085) = 5

We will now calculate the prime factors of 76080 and 76085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76080 and 76085.

How to find the GCF of 76080 and 76085?

We will first find the prime factorization of 76080 and 76085. After we will calculate the factors of 76080 and 76085 and find the biggest common factor number .

Step-1: Prime Factorization of 76080

Prime factors of 76080 are 2, 3, 5, 317. Prime factorization of 76080 in exponential form is:

76080 = 2⁴ × 3¹ × 5¹ × 317¹

Step-2: Prime Factorization of 76085

Prime factors of 76085 are 5, 15217. Prime factorization of 76085 in exponential form is:

76085 = 5¹ × 15217¹

Step-3: Factors of 76080

List of positive integer factors of 76080 that divides 76080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 317, 634, 951, 1268, 1585, 1902, 2536, 3170, 3804, 4755, 5072, 6340, 7608, 9510, 12680, 15216, 19020, 25360, 38040

Step-4: Factors of 76085

List of positive integer factors of 76085 that divides 76080 without a remainder.

1, 5, 15217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76080 and 76085. The biggest common factor number is the GCF number.
So the greatest common factor 76080 and 76085 is 5.

Also check out the Least Common Multiple of 76080 and 76085