What is the Greatest Common Factor of 75020 and 75040?

Greatest common factor (GCF) of 75020 and 75040 is 20.

GCF(75020,75040) = 20

We will now calculate the prime factors of 75020 and 75040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75020 and 75040.

How to find the GCF of 75020 and 75040?

We will first find the prime factorization of 75020 and 75040. After we will calculate the factors of 75020 and 75040 and find the biggest common factor number .

Step-1: Prime Factorization of 75020

Prime factors of 75020 are 2, 5, 11, 31. Prime factorization of 75020 in exponential form is:

75020 = 2² × 5¹ × 11² × 31¹

Step-2: Prime Factorization of 75040

Prime factors of 75040 are 2, 5, 7, 67. Prime factorization of 75040 in exponential form is:

75040 = 2⁵ × 5¹ × 7¹ × 67¹

Step-3: Factors of 75020

List of positive integer factors of 75020 that divides 75020 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 121, 124, 155, 220, 242, 310, 341, 484, 605, 620, 682, 1210, 1364, 1705, 2420, 3410, 3751, 6820, 7502, 15004, 18755, 37510

Step-4: Factors of 75040

List of positive integer factors of 75040 that divides 75020 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 67, 70, 80, 112, 134, 140, 160, 224, 268, 280, 335, 469, 536, 560, 670, 938, 1072, 1120, 1340, 1876, 2144, 2345, 2680, 3752, 4690, 5360, 7504, 9380, 10720, 15008, 18760, 37520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75020 and 75040. The biggest common factor number is the GCF number.
So the greatest common factor 75020 and 75040 is 20.

Also check out the Least Common Multiple of 75020 and 75040