What is the Greatest Common Factor of 59640 and 59649?

Greatest common factor (GCF) of 59640 and 59649 is 3.

GCF(59640,59649) = 3

We will now calculate the prime factors of 59640 and 59649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59640 and 59649.

How to find the GCF of 59640 and 59649?

We will first find the prime factorization of 59640 and 59649. After we will calculate the factors of 59640 and 59649 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59649

Prime factors of 59649 are 3, 59, 337. Prime factorization of 59649 in exponential form is:

59649 = 3¹ × 59¹ × 337¹

Step-3: Factors of 59640

List of positive integer factors of 59640 that divides 59640 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

Step-4: Factors of 59649

List of positive integer factors of 59649 that divides 59640 without a remainder.

1, 3, 59, 177, 337, 1011, 19883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59640 and 59649. The biggest common factor number is the GCF number.
So the greatest common factor 59640 and 59649 is 3.

Also check out the Least Common Multiple of 59640 and 59649