What is the Greatest Common Factor of 39144 and 39149?

Greatest common factor (GCF) of 39144 and 39149 is 1.

GCF(39144,39149) = 1

We will now calculate the prime factors of 39144 and 39149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39144 and 39149.

How to find the GCF of 39144 and 39149?

We will first find the prime factorization of 39144 and 39149. After we will calculate the factors of 39144 and 39149 and find the biggest common factor number .

Step-1: Prime Factorization of 39144

Prime factors of 39144 are 2, 3, 7, 233. Prime factorization of 39144 in exponential form is:

39144 = 2³ × 3¹ × 7¹ × 233¹

Step-2: Prime Factorization of 39149

Prime factors of 39149 are 11, 3559. Prime factorization of 39149 in exponential form is:

39149 = 11¹ × 3559¹

Step-3: Factors of 39144

List of positive integer factors of 39144 that divides 39144 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 233, 466, 699, 932, 1398, 1631, 1864, 2796, 3262, 4893, 5592, 6524, 9786, 13048, 19572

Step-4: Factors of 39149

List of positive integer factors of 39149 that divides 39144 without a remainder.

1, 11, 3559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39144 and 39149. The biggest common factor number is the GCF number.
So the greatest common factor 39144 and 39149 is 1.

Also check out the Least Common Multiple of 39144 and 39149