What is the Greatest Common Factor of 77500 and 77510?

Greatest common factor (GCF) of 77500 and 77510 is 10.

GCF(77500,77510) = 10

We will now calculate the prime factors of 77500 and 77510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77500 and 77510.

How to find the GCF of 77500 and 77510?

We will first find the prime factorization of 77500 and 77510. After we will calculate the factors of 77500 and 77510 and find the biggest common factor number .

Step-1: Prime Factorization of 77500

Prime factors of 77500 are 2, 5, 31. Prime factorization of 77500 in exponential form is:

77500 = 2² × 5⁴ × 31¹

Step-2: Prime Factorization of 77510

Prime factors of 77510 are 2, 5, 23, 337. Prime factorization of 77510 in exponential form is:

77510 = 2¹ × 5¹ × 23¹ × 337¹

Step-3: Factors of 77500

List of positive integer factors of 77500 that divides 77500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 125, 155, 250, 310, 500, 620, 625, 775, 1250, 1550, 2500, 3100, 3875, 7750, 15500, 19375, 38750

Step-4: Factors of 77510

List of positive integer factors of 77510 that divides 77500 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 337, 674, 1685, 3370, 7751, 15502, 38755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77500 and 77510. The biggest common factor number is the GCF number.
So the greatest common factor 77500 and 77510 is 10.

Also check out the Least Common Multiple of 77500 and 77510