What is the Greatest Common Factor of 69972 and 69987?

Greatest common factor (GCF) of 69972 and 69987 is 3.

GCF(69972,69987) = 3

We will now calculate the prime factors of 69972 and 69987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69972 and 69987.

How to find the GCF of 69972 and 69987?

We will first find the prime factorization of 69972 and 69987. After we will calculate the factors of 69972 and 69987 and find the biggest common factor number .

Step-1: Prime Factorization of 69972

Prime factors of 69972 are 2, 3, 7, 17. Prime factorization of 69972 in exponential form is:

69972 = 2² × 3¹ × 7³ × 17¹

Step-2: Prime Factorization of 69987

Prime factors of 69987 are 3, 41, 569. Prime factorization of 69987 in exponential form is:

69987 = 3¹ × 41¹ × 569¹

Step-3: Factors of 69972

List of positive integer factors of 69972 that divides 69972 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 343, 357, 476, 588, 686, 714, 833, 1029, 1372, 1428, 1666, 2058, 2499, 3332, 4116, 4998, 5831, 9996, 11662, 17493, 23324, 34986

Step-4: Factors of 69987

List of positive integer factors of 69987 that divides 69972 without a remainder.

1, 3, 41, 123, 569, 1707, 23329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69972 and 69987. The biggest common factor number is the GCF number.
So the greatest common factor 69972 and 69987 is 3.

Also check out the Least Common Multiple of 69972 and 69987