What is the Greatest Common Factor of 46132 and 46152?

Greatest common factor (GCF) of 46132 and 46152 is 4.

GCF(46132,46152) = 4

We will now calculate the prime factors of 46132 and 46152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46132 and 46152.

How to find the GCF of 46132 and 46152?

We will first find the prime factorization of 46132 and 46152. After we will calculate the factors of 46132 and 46152 and find the biggest common factor number .

Step-1: Prime Factorization of 46132

Prime factors of 46132 are 2, 19, 607. Prime factorization of 46132 in exponential form is:

46132 = 2² × 19¹ × 607¹

Step-2: Prime Factorization of 46152

Prime factors of 46152 are 2, 3, 641. Prime factorization of 46152 in exponential form is:

46152 = 2³ × 3² × 641¹

Step-3: Factors of 46132

List of positive integer factors of 46132 that divides 46132 without a remainder.

1, 2, 4, 19, 38, 76, 607, 1214, 2428, 11533, 23066

Step-4: Factors of 46152

List of positive integer factors of 46152 that divides 46132 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 641, 1282, 1923, 2564, 3846, 5128, 5769, 7692, 11538, 15384, 23076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46132 and 46152. The biggest common factor number is the GCF number.
So the greatest common factor 46132 and 46152 is 4.

Also check out the Least Common Multiple of 46132 and 46152