What is the Greatest Common Factor of 99560 and 99575?

Greatest common factor (GCF) of 99560 and 99575 is 5.

GCF(99560,99575) = 5

We will now calculate the prime factors of 99560 and 99575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99560 and 99575.

How to find the GCF of 99560 and 99575?

We will first find the prime factorization of 99560 and 99575. After we will calculate the factors of 99560 and 99575 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 99575

Prime factors of 99575 are 5, 7, 569. Prime factorization of 99575 in exponential form is:

99575 = 5² × 7¹ × 569¹

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 99575

List of positive integer factors of 99575 that divides 99560 without a remainder.

1, 5, 7, 25, 35, 175, 569, 2845, 3983, 14225, 19915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99560 and 99575. The biggest common factor number is the GCF number.
So the greatest common factor 99560 and 99575 is 5.

Also check out the Least Common Multiple of 99560 and 99575