What is the Greatest Common Factor of 46725 and 46739?

Greatest common factor (GCF) of 46725 and 46739 is 7.

GCF(46725,46739) = 7

We will now calculate the prime factors of 46725 and 46739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46725 and 46739.

How to find the GCF of 46725 and 46739?

We will first find the prime factorization of 46725 and 46739. After we will calculate the factors of 46725 and 46739 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 46739

Prime factors of 46739 are 7, 11, 607. Prime factorization of 46739 in exponential form is:

46739 = 7¹ × 11¹ × 607¹

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 46739

List of positive integer factors of 46739 that divides 46725 without a remainder.

1, 7, 11, 77, 607, 4249, 6677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46725 and 46739. The biggest common factor number is the GCF number.
So the greatest common factor 46725 and 46739 is 7.

Also check out the Least Common Multiple of 46725 and 46739