What is the Greatest Common Factor of 77490 and 77500?

Greatest common factor (GCF) of 77490 and 77500 is 10.

GCF(77490,77500) = 10

We will now calculate the prime factors of 77490 and 77500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77490 and 77500.

How to find the GCF of 77490 and 77500?

We will first find the prime factorization of 77490 and 77500. After we will calculate the factors of 77490 and 77500 and find the biggest common factor number .

Step-1: Prime Factorization of 77490

Prime factors of 77490 are 2, 3, 5, 7, 41. Prime factorization of 77490 in exponential form is:

77490 = 2¹ × 3³ × 5¹ × 7¹ × 41¹

Step-2: 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-3: Factors of 77490

List of positive integer factors of 77490 that divides 77490 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 41, 42, 45, 54, 63, 70, 82, 90, 105, 123, 126, 135, 189, 205, 210, 246, 270, 287, 315, 369, 378, 410, 574, 615, 630, 738, 861, 945, 1107, 1230, 1435, 1722, 1845, 1890, 2214, 2583, 2870, 3690, 4305, 5166, 5535, 7749, 8610, 11070, 12915, 15498, 25830, 38745

Step-4: Factors of 77500

List of positive integer factors of 77500 that divides 77490 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77490 and 77500. The biggest common factor number is the GCF number.
So the greatest common factor 77490 and 77500 is 10.

Also check out the Least Common Multiple of 77490 and 77500