What is the Greatest Common Factor of 59635 and 59640?

Greatest common factor (GCF) of 59635 and 59640 is 5.

GCF(59635,59640) = 5

We will now calculate the prime factors of 59635 and 59640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59635 and 59640.

How to find the GCF of 59635 and 59640?

We will first find the prime factorization of 59635 and 59640. After we will calculate the factors of 59635 and 59640 and find the biggest common factor number .

Step-1: Prime Factorization of 59635

Prime factors of 59635 are 5, 11927. Prime factorization of 59635 in exponential form is:

59635 = 5¹ × 11927¹

Step-2: Prime Factorization of 59640

Prime factors of 59640 are 2, 3, 5, 7, 71. Prime factorization of 59640 in exponential form is:

59640 = 2³ × 3¹ × 5¹ × 7¹ × 71¹

Step-3: Factors of 59635

List of positive integer factors of 59635 that divides 59635 without a remainder.

1, 5, 11927

Step-4: Factors of 59640

List of positive integer factors of 59640 that divides 59635 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 71, 84, 105, 120, 140, 142, 168, 210, 213, 280, 284, 355, 420, 426, 497, 568, 710, 840, 852, 994, 1065, 1420, 1491, 1704, 1988, 2130, 2485, 2840, 2982, 3976, 4260, 4970, 5964, 7455, 8520, 9940, 11928, 14910, 19880, 29820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59635 and 59640. The biggest common factor number is the GCF number.
So the greatest common factor 59635 and 59640 is 5.

Also check out the Least Common Multiple of 59635 and 59640