What is the Greatest Common Factor of 42972 and 42984?

Greatest common factor (GCF) of 42972 and 42984 is 12.

GCF(42972,42984) = 12

We will now calculate the prime factors of 42972 and 42984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42972 and 42984.

How to find the GCF of 42972 and 42984?

We will first find the prime factorization of 42972 and 42984. After we will calculate the factors of 42972 and 42984 and find the biggest common factor number .

Step-1: Prime Factorization of 42972

Prime factors of 42972 are 2, 3, 3581. Prime factorization of 42972 in exponential form is:

42972 = 2² × 3¹ × 3581¹

Step-2: Prime Factorization of 42984

Prime factors of 42984 are 2, 3, 199. Prime factorization of 42984 in exponential form is:

42984 = 2³ × 3³ × 199¹

Step-3: Factors of 42972

List of positive integer factors of 42972 that divides 42972 without a remainder.

1, 2, 3, 4, 6, 12, 3581, 7162, 10743, 14324, 21486

Step-4: Factors of 42984

List of positive integer factors of 42984 that divides 42972 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 199, 216, 398, 597, 796, 1194, 1592, 1791, 2388, 3582, 4776, 5373, 7164, 10746, 14328, 21492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42972 and 42984. The biggest common factor number is the GCF number.
So the greatest common factor 42972 and 42984 is 12.

Also check out the Least Common Multiple of 42972 and 42984