What is the Greatest Common Factor of 77190 and 77206?

Greatest common factor (GCF) of 77190 and 77206 is 2.

GCF(77190,77206) = 2

We will now calculate the prime factors of 77190 and 77206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77190 and 77206.

How to find the GCF of 77190 and 77206?

We will first find the prime factorization of 77190 and 77206. After we will calculate the factors of 77190 and 77206 and find the biggest common factor number .

Step-1: Prime Factorization of 77190

Prime factors of 77190 are 2, 3, 5, 31, 83. Prime factorization of 77190 in exponential form is:

77190 = 2¹ × 3¹ × 5¹ × 31¹ × 83¹

Step-2: Prime Factorization of 77206

Prime factors of 77206 are 2, 38603. Prime factorization of 77206 in exponential form is:

77206 = 2¹ × 38603¹

Step-3: Factors of 77190

List of positive integer factors of 77190 that divides 77190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 83, 93, 155, 166, 186, 249, 310, 415, 465, 498, 830, 930, 1245, 2490, 2573, 5146, 7719, 12865, 15438, 25730, 38595

Step-4: Factors of 77206

List of positive integer factors of 77206 that divides 77190 without a remainder.

1, 2, 38603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77190 and 77206. The biggest common factor number is the GCF number.
So the greatest common factor 77190 and 77206 is 2.

Also check out the Least Common Multiple of 77190 and 77206