What is the Greatest Common Factor of 46452 and 46472?

Greatest common factor (GCF) of 46452 and 46472 is 4.

GCF(46452,46472) = 4

We will now calculate the prime factors of 46452 and 46472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46452 and 46472.

How to find the GCF of 46452 and 46472?

We will first find the prime factorization of 46452 and 46472. After we will calculate the factors of 46452 and 46472 and find the biggest common factor number .

Step-1: Prime Factorization of 46452

Prime factors of 46452 are 2, 3, 7, 79. Prime factorization of 46452 in exponential form is:

46452 = 2² × 3¹ × 7² × 79¹

Step-2: Prime Factorization of 46472

Prime factors of 46472 are 2, 37, 157. Prime factorization of 46472 in exponential form is:

46472 = 2³ × 37¹ × 157¹

Step-3: Factors of 46452

List of positive integer factors of 46452 that divides 46452 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 79, 84, 98, 147, 158, 196, 237, 294, 316, 474, 553, 588, 948, 1106, 1659, 2212, 3318, 3871, 6636, 7742, 11613, 15484, 23226

Step-4: Factors of 46472

List of positive integer factors of 46472 that divides 46452 without a remainder.

1, 2, 4, 8, 37, 74, 148, 157, 296, 314, 628, 1256, 5809, 11618, 23236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46452 and 46472. The biggest common factor number is the GCF number.
So the greatest common factor 46452 and 46472 is 4.

Also check out the Least Common Multiple of 46452 and 46472