What is the Greatest Common Factor of 69580 and 69596?

Greatest common factor (GCF) of 69580 and 69596 is 4.

GCF(69580,69596) = 4

We will now calculate the prime factors of 69580 and 69596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69580 and 69596.

How to find the GCF of 69580 and 69596?

We will first find the prime factorization of 69580 and 69596. After we will calculate the factors of 69580 and 69596 and find the biggest common factor number .

Step-1: Prime Factorization of 69580

Prime factors of 69580 are 2, 5, 7, 71. Prime factorization of 69580 in exponential form is:

69580 = 2² × 5¹ × 7² × 71¹

Step-2: Prime Factorization of 69596

Prime factors of 69596 are 2, 127, 137. Prime factorization of 69596 in exponential form is:

69596 = 2² × 127¹ × 137¹

Step-3: Factors of 69580

List of positive integer factors of 69580 that divides 69580 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 71, 98, 140, 142, 196, 245, 284, 355, 490, 497, 710, 980, 994, 1420, 1988, 2485, 3479, 4970, 6958, 9940, 13916, 17395, 34790

Step-4: Factors of 69596

List of positive integer factors of 69596 that divides 69580 without a remainder.

1, 2, 4, 127, 137, 254, 274, 508, 548, 17399, 34798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69580 and 69596. The biggest common factor number is the GCF number.
So the greatest common factor 69580 and 69596 is 4.

Also check out the Least Common Multiple of 69580 and 69596