What is the Greatest Common Factor of 67928 and 67945?
Greatest common factor (GCF) of 67928 and 67945 is 1.
GCF(67928,67945) = 1
We will now calculate the prime factors of 67928 and 67945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67928 and 67945.
How to find the GCF of 67928 and 67945?
We will first find the prime factorization of 67928 and 67945. After we will calculate the factors of 67928 and 67945 and find the biggest common factor number .
Step-1: Prime Factorization of 67928
Prime factors of 67928 are 2, 7, 1213. Prime factorization of 67928 in exponential form is:
67928 = 23 × 71 × 12131
Step-2: Prime Factorization of 67945
Prime factors of 67945 are 5, 107, 127. Prime factorization of 67945 in exponential form is:
67945 = 51 × 1071 × 1271
Step-3: Factors of 67928
List of positive integer factors of 67928 that divides 67928 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 1213, 2426, 4852, 8491, 9704, 16982, 33964
Step-4: Factors of 67945
List of positive integer factors of 67945 that divides 67928 without a remainder.
1, 5, 107, 127, 535, 635, 13589
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67928 and 67945. The biggest common factor number is the GCF number.
So the greatest common factor 67928 and 67945 is 1.
Also check out the Least Common Multiple of 67928 and 67945
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