What is the Greatest Common Factor of 140 and 149?

Greatest common factor (GCF) of 140 and 149 is 1.

GCF(140,149) = 1

We will now calculate the prime factors of 140 and 149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 140 and 149.

How to find the GCF of 140 and 149?

We will first find the prime factorization of 140 and 149. After we will calculate the factors of 140 and 149 and find the biggest common factor number .

Step-1: Prime Factorization of 140

Prime factors of 140 are 2, 5, 7. Prime factorization of 140 in exponential form is:

140 = 2² × 5¹ × 7¹

Step-2: Prime Factorization of 149

Prime factors of 149 are 149. Prime factorization of 149 in exponential form is:

149 = 149¹

Step-3: Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70

Step-4: Factors of 149

List of positive integer factors of 149 that divides 140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 140 and 149. The biggest common factor number is the GCF number.
So the greatest common factor 140 and 149 is 1.

Also check out the Least Common Multiple of 140 and 149