What is the Greatest Common Factor of 36070 and 36077?

Greatest common factor (GCF) of 36070 and 36077 is 1.

GCF(36070,36077) = 1

We will now calculate the prime factors of 36070 and 36077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36070 and 36077.

How to find the GCF of 36070 and 36077?

We will first find the prime factorization of 36070 and 36077. After we will calculate the factors of 36070 and 36077 and find the biggest common factor number .

Step-1: Prime Factorization of 36070

Prime factors of 36070 are 2, 5, 3607. Prime factorization of 36070 in exponential form is:

36070 = 2¹ × 5¹ × 3607¹

Step-2: Prime Factorization of 36077

Prime factors of 36077 are 43, 839. Prime factorization of 36077 in exponential form is:

36077 = 43¹ × 839¹

Step-3: Factors of 36070

List of positive integer factors of 36070 that divides 36070 without a remainder.

1, 2, 5, 10, 3607, 7214, 18035

Step-4: Factors of 36077

List of positive integer factors of 36077 that divides 36070 without a remainder.

1, 43, 839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36070 and 36077. The biggest common factor number is the GCF number.
So the greatest common factor 36070 and 36077 is 1.

Also check out the Least Common Multiple of 36070 and 36077