What is the Greatest Common Factor of 77590 and 77610?

Greatest common factor (GCF) of 77590 and 77610 is 10.

GCF(77590,77610) = 10

We will now calculate the prime factors of 77590 and 77610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77590 and 77610.

How to find the GCF of 77590 and 77610?

We will first find the prime factorization of 77590 and 77610. After we will calculate the factors of 77590 and 77610 and find the biggest common factor number .

Step-1: Prime Factorization of 77590

Prime factors of 77590 are 2, 5, 7759. Prime factorization of 77590 in exponential form is:

77590 = 2¹ × 5¹ × 7759¹

Step-2: Prime Factorization of 77610

Prime factors of 77610 are 2, 3, 5, 13, 199. Prime factorization of 77610 in exponential form is:

77610 = 2¹ × 3¹ × 5¹ × 13¹ × 199¹

Step-3: Factors of 77590

List of positive integer factors of 77590 that divides 77590 without a remainder.

1, 2, 5, 10, 7759, 15518, 38795

Step-4: Factors of 77610

List of positive integer factors of 77610 that divides 77590 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 199, 390, 398, 597, 995, 1194, 1990, 2587, 2985, 5174, 5970, 7761, 12935, 15522, 25870, 38805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77590 and 77610. The biggest common factor number is the GCF number.
So the greatest common factor 77590 and 77610 is 10.

Also check out the Least Common Multiple of 77590 and 77610