What is the Greatest Common Factor of 50552 and 50560?

Greatest common factor (GCF) of 50552 and 50560 is 8.

GCF(50552,50560) = 8

We will now calculate the prime factors of 50552 and 50560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50552 and 50560.

How to find the GCF of 50552 and 50560?

We will first find the prime factorization of 50552 and 50560. After we will calculate the factors of 50552 and 50560 and find the biggest common factor number .

Step-1: Prime Factorization of 50552

Prime factors of 50552 are 2, 71, 89. Prime factorization of 50552 in exponential form is:

50552 = 2³ × 71¹ × 89¹

Step-2: 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-3: Factors of 50552

List of positive integer factors of 50552 that divides 50552 without a remainder.

1, 2, 4, 8, 71, 89, 142, 178, 284, 356, 568, 712, 6319, 12638, 25276

Step-4: Factors of 50560

List of positive integer factors of 50560 that divides 50552 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50552 and 50560. The biggest common factor number is the GCF number.
So the greatest common factor 50552 and 50560 is 8.

Also check out the Least Common Multiple of 50552 and 50560