What is the Greatest Common Factor of 50560 and 50575?

Greatest common factor (GCF) of 50560 and 50575 is 5.

GCF(50560,50575) = 5

We will now calculate the prime factors of 50560 and 50575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50560 and 50575.

How to find the GCF of 50560 and 50575?

We will first find the prime factorization of 50560 and 50575. After we will calculate the factors of 50560 and 50575 and find the biggest common factor number .

Step-1: Prime Factorization of 50560

Prime factors of 50560 are 2, 5, 79. Prime factorization of 50560 in exponential form is:

50560 = 2⁷ × 5¹ × 79¹

Step-2: Prime Factorization of 50575

Prime factors of 50575 are 5, 7, 17. Prime factorization of 50575 in exponential form is:

50575 = 5² × 7¹ × 17²

Step-3: Factors of 50560

List of positive integer factors of 50560 that divides 50560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 79, 80, 128, 158, 160, 316, 320, 395, 632, 640, 790, 1264, 1580, 2528, 3160, 5056, 6320, 10112, 12640, 25280

Step-4: Factors of 50575

List of positive integer factors of 50575 that divides 50560 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 175, 289, 425, 595, 1445, 2023, 2975, 7225, 10115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50560 and 50575. The biggest common factor number is the GCF number.
So the greatest common factor 50560 and 50575 is 5.

Also check out the Least Common Multiple of 50560 and 50575