What is the Greatest Common Factor of 42132 and 42152?

Greatest common factor (GCF) of 42132 and 42152 is 4.

GCF(42132,42152) = 4

We will now calculate the prime factors of 42132 and 42152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42132 and 42152.

How to find the GCF of 42132 and 42152?

We will first find the prime factorization of 42132 and 42152. After we will calculate the factors of 42132 and 42152 and find the biggest common factor number .

Step-1: Prime Factorization of 42132

Prime factors of 42132 are 2, 3, 3511. Prime factorization of 42132 in exponential form is:

42132 = 2² × 3¹ × 3511¹

Step-2: Prime Factorization of 42152

Prime factors of 42152 are 2, 11, 479. Prime factorization of 42152 in exponential form is:

42152 = 2³ × 11¹ × 479¹

Step-3: Factors of 42132

List of positive integer factors of 42132 that divides 42132 without a remainder.

1, 2, 3, 4, 6, 12, 3511, 7022, 10533, 14044, 21066

Step-4: Factors of 42152

List of positive integer factors of 42152 that divides 42132 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 479, 958, 1916, 3832, 5269, 10538, 21076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42132 and 42152. The biggest common factor number is the GCF number.
So the greatest common factor 42132 and 42152 is 4.

Also check out the Least Common Multiple of 42132 and 42152