What is the Greatest Common Factor of 67452 and 67464?

Greatest common factor (GCF) of 67452 and 67464 is 12.

GCF(67452,67464) = 12

We will now calculate the prime factors of 67452 and 67464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67452 and 67464.

How to find the GCF of 67452 and 67464?

We will first find the prime factorization of 67452 and 67464. After we will calculate the factors of 67452 and 67464 and find the biggest common factor number .

Step-1: Prime Factorization of 67452

Prime factors of 67452 are 2, 3, 7, 11, 73. Prime factorization of 67452 in exponential form is:

67452 = 2² × 3¹ × 7¹ × 11¹ × 73¹

Step-2: Prime Factorization of 67464

Prime factors of 67464 are 2, 3, 937. Prime factorization of 67464 in exponential form is:

67464 = 2³ × 3² × 937¹

Step-3: Factors of 67452

List of positive integer factors of 67452 that divides 67452 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 73, 77, 84, 132, 146, 154, 219, 231, 292, 308, 438, 462, 511, 803, 876, 924, 1022, 1533, 1606, 2044, 2409, 3066, 3212, 4818, 5621, 6132, 9636, 11242, 16863, 22484, 33726

Step-4: Factors of 67464

List of positive integer factors of 67464 that divides 67452 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 937, 1874, 2811, 3748, 5622, 7496, 8433, 11244, 16866, 22488, 33732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67452 and 67464. The biggest common factor number is the GCF number.
So the greatest common factor 67452 and 67464 is 12.

Also check out the Least Common Multiple of 67452 and 67464