What is the Greatest Common Factor of 77500 and 77504?

Greatest common factor (GCF) of 77500 and 77504 is 4.

GCF(77500,77504) = 4

We will now calculate the prime factors of 77500 and 77504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77500 and 77504.

How to find the GCF of 77500 and 77504?

We will first find the prime factorization of 77500 and 77504. After we will calculate the factors of 77500 and 77504 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 77504

Prime factors of 77504 are 2, 7, 173. Prime factorization of 77504 in exponential form is:

77504 = 2⁶ × 7¹ × 173¹

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 77504

List of positive integer factors of 77504 that divides 77500 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 173, 224, 346, 448, 692, 1211, 1384, 2422, 2768, 4844, 5536, 9688, 11072, 19376, 38752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77500 and 77504. The biggest common factor number is the GCF number.
So the greatest common factor 77500 and 77504 is 4.

Also check out the Least Common Multiple of 77500 and 77504