What is the Greatest Common Factor of 46088 and 46102?

Greatest common factor (GCF) of 46088 and 46102 is 14.

GCF(46088,46102) = 14

We will now calculate the prime factors of 46088 and 46102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46088 and 46102.

How to find the GCF of 46088 and 46102?

We will first find the prime factorization of 46088 and 46102. After we will calculate the factors of 46088 and 46102 and find the biggest common factor number .

Step-1: Prime Factorization of 46088

Prime factors of 46088 are 2, 7, 823. Prime factorization of 46088 in exponential form is:

46088 = 2³ × 7¹ × 823¹

Step-2: Prime Factorization of 46102

Prime factors of 46102 are 2, 7, 37, 89. Prime factorization of 46102 in exponential form is:

46102 = 2¹ × 7¹ × 37¹ × 89¹

Step-3: Factors of 46088

List of positive integer factors of 46088 that divides 46088 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 823, 1646, 3292, 5761, 6584, 11522, 23044

Step-4: Factors of 46102

List of positive integer factors of 46102 that divides 46088 without a remainder.

1, 2, 7, 14, 37, 74, 89, 178, 259, 518, 623, 1246, 3293, 6586, 23051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46088 and 46102. The biggest common factor number is the GCF number.
So the greatest common factor 46088 and 46102 is 14.

Also check out the Least Common Multiple of 46088 and 46102