What is the Greatest Common Factor of 61750 and 61760?

Greatest common factor (GCF) of 61750 and 61760 is 10.

GCF(61750,61760) = 10

We will now calculate the prime factors of 61750 and 61760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61750 and 61760.

How to find the GCF of 61750 and 61760?

We will first find the prime factorization of 61750 and 61760. After we will calculate the factors of 61750 and 61760 and find the biggest common factor number .

Step-1: Prime Factorization of 61750

Prime factors of 61750 are 2, 5, 13, 19. Prime factorization of 61750 in exponential form is:

61750 = 2¹ × 5³ × 13¹ × 19¹

Step-2: Prime Factorization of 61760

Prime factors of 61760 are 2, 5, 193. Prime factorization of 61760 in exponential form is:

61760 = 2⁶ × 5¹ × 193¹

Step-3: Factors of 61750

List of positive integer factors of 61750 that divides 61750 without a remainder.

1, 2, 5, 10, 13, 19, 25, 26, 38, 50, 65, 95, 125, 130, 190, 247, 250, 325, 475, 494, 650, 950, 1235, 1625, 2375, 2470, 3250, 4750, 6175, 12350, 30875

Step-4: Factors of 61760

List of positive integer factors of 61760 that divides 61750 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 193, 320, 386, 772, 965, 1544, 1930, 3088, 3860, 6176, 7720, 12352, 15440, 30880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61750 and 61760. The biggest common factor number is the GCF number.
So the greatest common factor 61750 and 61760 is 10.

Also check out the Least Common Multiple of 61750 and 61760