What is the Greatest Common Factor of 99560 and 99580?

Greatest common factor (GCF) of 99560 and 99580 is 20.

GCF(99560,99580) = 20

We will now calculate the prime factors of 99560 and 99580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99560 and 99580.

How to find the GCF of 99560 and 99580?

We will first find the prime factorization of 99560 and 99580. After we will calculate the factors of 99560 and 99580 and find the biggest common factor number .

Step-1: Prime Factorization of 99560

Prime factors of 99560 are 2, 5, 19, 131. Prime factorization of 99560 in exponential form is:

99560 = 2³ × 5¹ × 19¹ × 131¹

Step-2: Prime Factorization of 99580

Prime factors of 99580 are 2, 5, 13, 383. Prime factorization of 99580 in exponential form is:

99580 = 2² × 5¹ × 13¹ × 383¹

Step-3: Factors of 99560

List of positive integer factors of 99560 that divides 99560 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 131, 152, 190, 262, 380, 524, 655, 760, 1048, 1310, 2489, 2620, 4978, 5240, 9956, 12445, 19912, 24890, 49780

Step-4: Factors of 99580

List of positive integer factors of 99580 that divides 99560 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 383, 766, 1532, 1915, 3830, 4979, 7660, 9958, 19916, 24895, 49790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99560 and 99580. The biggest common factor number is the GCF number.
So the greatest common factor 99560 and 99580 is 20.

Also check out the Least Common Multiple of 99560 and 99580