What is the Greatest Common Factor of 46725 and 46732?

Greatest common factor (GCF) of 46725 and 46732 is 7.

GCF(46725,46732) = 7

We will now calculate the prime factors of 46725 and 46732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46725 and 46732.

How to find the GCF of 46725 and 46732?

We will first find the prime factorization of 46725 and 46732. After we will calculate the factors of 46725 and 46732 and find the biggest common factor number .

Step-1: Prime Factorization of 46725

Prime factors of 46725 are 3, 5, 7, 89. Prime factorization of 46725 in exponential form is:

46725 = 3¹ × 5² × 7¹ × 89¹

Step-2: Prime Factorization of 46732

Prime factors of 46732 are 2, 7, 1669. Prime factorization of 46732 in exponential form is:

46732 = 2² × 7¹ × 1669¹

Step-3: Factors of 46725

List of positive integer factors of 46725 that divides 46725 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 89, 105, 175, 267, 445, 525, 623, 1335, 1869, 2225, 3115, 6675, 9345, 15575

Step-4: Factors of 46732

List of positive integer factors of 46732 that divides 46725 without a remainder.

1, 2, 4, 7, 14, 28, 1669, 3338, 6676, 11683, 23366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46725 and 46732. The biggest common factor number is the GCF number.
So the greatest common factor 46725 and 46732 is 7.

Also check out the Least Common Multiple of 46725 and 46732