What is the Greatest Common Factor of 67452 and 67466?

Greatest common factor (GCF) of 67452 and 67466 is 14.

GCF(67452,67466) = 14

We will now calculate the prime factors of 67452 and 67466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67452 and 67466.

How to find the GCF of 67452 and 67466?

We will first find the prime factorization of 67452 and 67466. After we will calculate the factors of 67452 and 67466 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 67466

Prime factors of 67466 are 2, 7, 61, 79. Prime factorization of 67466 in exponential form is:

67466 = 2¹ × 7¹ × 61¹ × 79¹

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 67466

List of positive integer factors of 67466 that divides 67452 without a remainder.

1, 2, 7, 14, 61, 79, 122, 158, 427, 553, 854, 1106, 4819, 9638, 33733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67452 and 67466. The biggest common factor number is the GCF number.
So the greatest common factor 67452 and 67466 is 14.

Also check out the Least Common Multiple of 67452 and 67466