What is the Greatest Common Factor of 45992 and 46009?

Greatest common factor (GCF) of 45992 and 46009 is 1.

GCF(45992,46009) = 1

We will now calculate the prime factors of 45992 and 46009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45992 and 46009.

How to find the GCF of 45992 and 46009?

We will first find the prime factorization of 45992 and 46009. After we will calculate the factors of 45992 and 46009 and find the biggest common factor number .

Step-1: Prime Factorization of 45992

Prime factors of 45992 are 2, 5749. Prime factorization of 45992 in exponential form is:

45992 = 2³ × 5749¹

Step-2: Prime Factorization of 46009

Prime factors of 46009 are 139, 331. Prime factorization of 46009 in exponential form is:

46009 = 139¹ × 331¹

Step-3: Factors of 45992

List of positive integer factors of 45992 that divides 45992 without a remainder.

1, 2, 4, 8, 5749, 11498, 22996

Step-4: Factors of 46009

List of positive integer factors of 46009 that divides 45992 without a remainder.

1, 139, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45992 and 46009. The biggest common factor number is the GCF number.
So the greatest common factor 45992 and 46009 is 1.

Also check out the Least Common Multiple of 45992 and 46009