What is the Greatest Common Factor of 65412 and 65424?

Greatest common factor (GCF) of 65412 and 65424 is 12.

GCF(65412,65424) = 12

We will now calculate the prime factors of 65412 and 65424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65412 and 65424.

How to find the GCF of 65412 and 65424?

We will first find the prime factorization of 65412 and 65424. After we will calculate the factors of 65412 and 65424 and find the biggest common factor number .

Step-1: Prime Factorization of 65412

Prime factors of 65412 are 2, 3, 23, 79. Prime factorization of 65412 in exponential form is:

65412 = 2² × 3² × 23¹ × 79¹

Step-2: Prime Factorization of 65424

Prime factors of 65424 are 2, 3, 29, 47. Prime factorization of 65424 in exponential form is:

65424 = 2⁴ × 3¹ × 29¹ × 47¹

Step-3: Factors of 65412

List of positive integer factors of 65412 that divides 65412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 79, 92, 138, 158, 207, 237, 276, 316, 414, 474, 711, 828, 948, 1422, 1817, 2844, 3634, 5451, 7268, 10902, 16353, 21804, 32706

Step-4: Factors of 65424

List of positive integer factors of 65424 that divides 65412 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 47, 48, 58, 87, 94, 116, 141, 174, 188, 232, 282, 348, 376, 464, 564, 696, 752, 1128, 1363, 1392, 2256, 2726, 4089, 5452, 8178, 10904, 16356, 21808, 32712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65412 and 65424. The biggest common factor number is the GCF number.
So the greatest common factor 65412 and 65424 is 12.

Also check out the Least Common Multiple of 65412 and 65424