What is the Greatest Common Factor of 76949 and 76960?
Greatest common factor (GCF) of 76949 and 76960 is 1.
GCF(76949,76960) = 1
We will now calculate the prime factors of 76949 and 76960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76949 and 76960.
How to find the GCF of 76949 and 76960?
We will first find the prime factorization of 76949 and 76960. After we will calculate the factors of 76949 and 76960 and find the biggest common factor number .
Step-1: Prime Factorization of 76949
Prime factors of 76949 are 76949. Prime factorization of 76949 in exponential form is:
76949 = 769491
Step-2: Prime Factorization of 76960
Prime factors of 76960 are 2, 5, 13, 37. Prime factorization of 76960 in exponential form is:
76960 = 25 × 51 × 131 × 371
Step-3: Factors of 76949
List of positive integer factors of 76949 that divides 76949 without a remainder.
1
Step-4: Factors of 76960
List of positive integer factors of 76960 that divides 76949 without a remainder.
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 37, 40, 52, 65, 74, 80, 104, 130, 148, 160, 185, 208, 260, 296, 370, 416, 481, 520, 592, 740, 962, 1040, 1184, 1480, 1924, 2080, 2405, 2960, 3848, 4810, 5920, 7696, 9620, 15392, 19240, 38480
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 76949 and 76960. The biggest common factor number is the GCF number.
So the greatest common factor 76949 and 76960 is 1.
Also check out the Least Common Multiple of 76949 and 76960
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