What is the Greatest Common Factor of 59633 and 59640?

Greatest common factor (GCF) of 59633 and 59640 is 7.

GCF(59633,59640) = 7

We will now calculate the prime factors of 59633 and 59640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59633 and 59640.

How to find the GCF of 59633 and 59640?

We will first find the prime factorization of 59633 and 59640. After we will calculate the factors of 59633 and 59640 and find the biggest common factor number .

Step-1: Prime Factorization of 59633

Prime factors of 59633 are 7, 1217. Prime factorization of 59633 in exponential form is:

59633 = 7² × 1217¹

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 59633

List of positive integer factors of 59633 that divides 59633 without a remainder.

1, 7, 49, 1217, 8519

Step-4: Factors of 59640

List of positive integer factors of 59640 that divides 59633 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 59633 and 59640. The biggest common factor number is the GCF number.
So the greatest common factor 59633 and 59640 is 7.

Also check out the Least Common Multiple of 59633 and 59640