What is the Greatest Common Factor of 46097 and 46102?

Greatest common factor (GCF) of 46097 and 46102 is 1.

GCF(46097,46102) = 1

We will now calculate the prime factors of 46097 and 46102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46097 and 46102.

How to find the GCF of 46097 and 46102?

We will first find the prime factorization of 46097 and 46102. After we will calculate the factors of 46097 and 46102 and find the biggest common factor number .

Step-1: Prime Factorization of 46097

Prime factors of 46097 are 31, 1487. Prime factorization of 46097 in exponential form is:

46097 = 31¹ × 1487¹

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 46097

List of positive integer factors of 46097 that divides 46097 without a remainder.

1, 31, 1487

Step-4: Factors of 46102

List of positive integer factors of 46102 that divides 46097 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 46097 and 46102. The biggest common factor number is the GCF number.
So the greatest common factor 46097 and 46102 is 1.

Also check out the Least Common Multiple of 46097 and 46102