What is the Greatest Common Factor of 77049 and 77064?

Greatest common factor (GCF) of 77049 and 77064 is 3.

GCF(77049,77064) = 3

We will now calculate the prime factors of 77049 and 77064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77049 and 77064.

How to find the GCF of 77049 and 77064?

We will first find the prime factorization of 77049 and 77064. After we will calculate the factors of 77049 and 77064 and find the biggest common factor number .

Step-1: Prime Factorization of 77049

Prime factors of 77049 are 3, 7, 1223. Prime factorization of 77049 in exponential form is:

77049 = 3² × 7¹ × 1223¹

Step-2: Prime Factorization of 77064

Prime factors of 77064 are 2, 3, 13, 19. Prime factorization of 77064 in exponential form is:

77064 = 2³ × 3¹ × 13² × 19¹

Step-3: Factors of 77049

List of positive integer factors of 77049 that divides 77049 without a remainder.

1, 3, 7, 9, 21, 63, 1223, 3669, 8561, 11007, 25683

Step-4: Factors of 77064

List of positive integer factors of 77064 that divides 77049 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 169, 228, 247, 312, 338, 456, 494, 507, 676, 741, 988, 1014, 1352, 1482, 1976, 2028, 2964, 3211, 4056, 5928, 6422, 9633, 12844, 19266, 25688, 38532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77049 and 77064. The biggest common factor number is the GCF number.
So the greatest common factor 77049 and 77064 is 3.

Also check out the Least Common Multiple of 77049 and 77064