What is the Greatest Common Factor of 59969 and 59976?

Greatest common factor (GCF) of 59969 and 59976 is 7.

GCF(59969,59976) = 7

We will now calculate the prime factors of 59969 and 59976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59969 and 59976.

How to find the GCF of 59969 and 59976?

We will first find the prime factorization of 59969 and 59976. After we will calculate the factors of 59969 and 59976 and find the biggest common factor number .

Step-1: Prime Factorization of 59969

Prime factors of 59969 are 7, 13, 659. Prime factorization of 59969 in exponential form is:

59969 = 7¹ × 13¹ × 659¹

Step-2: Prime Factorization of 59976

Prime factors of 59976 are 2, 3, 7, 17. Prime factorization of 59976 in exponential form is:

59976 = 2³ × 3² × 7² × 17¹

Step-3: Factors of 59969

List of positive integer factors of 59969 that divides 59969 without a remainder.

1, 7, 13, 91, 659, 4613, 8567

Step-4: Factors of 59976

List of positive integer factors of 59976 that divides 59969 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 28, 34, 36, 42, 49, 51, 56, 63, 68, 72, 84, 98, 102, 119, 126, 136, 147, 153, 168, 196, 204, 238, 252, 294, 306, 357, 392, 408, 441, 476, 504, 588, 612, 714, 833, 882, 952, 1071, 1176, 1224, 1428, 1666, 1764, 2142, 2499, 2856, 3332, 3528, 4284, 4998, 6664, 7497, 8568, 9996, 14994, 19992, 29988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59969 and 59976. The biggest common factor number is the GCF number.
So the greatest common factor 59969 and 59976 is 7.

Also check out the Least Common Multiple of 59969 and 59976