What is the Greatest Common Factor of 72114 and 72124?

Greatest common factor (GCF) of 72114 and 72124 is 2.

GCF(72114,72124) = 2

We will now calculate the prime factors of 72114 and 72124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72114 and 72124.

How to find the GCF of 72114 and 72124?

We will first find the prime factorization of 72114 and 72124. After we will calculate the factors of 72114 and 72124 and find the biggest common factor number .

Step-1: Prime Factorization of 72114

Prime factors of 72114 are 2, 3, 7, 17, 101. Prime factorization of 72114 in exponential form is:

72114 = 2¹ × 3¹ × 7¹ × 17¹ × 101¹

Step-2: Prime Factorization of 72124

Prime factors of 72124 are 2, 13, 19, 73. Prime factorization of 72124 in exponential form is:

72124 = 2² × 13¹ × 19¹ × 73¹

Step-3: Factors of 72114

List of positive integer factors of 72114 that divides 72114 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 101, 102, 119, 202, 238, 303, 357, 606, 707, 714, 1414, 1717, 2121, 3434, 4242, 5151, 10302, 12019, 24038, 36057

Step-4: Factors of 72124

List of positive integer factors of 72124 that divides 72114 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 73, 76, 146, 247, 292, 494, 949, 988, 1387, 1898, 2774, 3796, 5548, 18031, 36062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72114 and 72124. The biggest common factor number is the GCF number.
So the greatest common factor 72114 and 72124 is 2.

Also check out the Least Common Multiple of 72114 and 72124